ABSTRACT
The z-transform is useful for the manipulation of discrete data sequence and has acquired a new significance in the formulation and analysis of discrete-time systems. It is used extensively today in the area of applied mathematics digital signal processing, control theory ,population science, economics. These discrete models are solved with difference equations in a manner that is analogous to solving continuous models with differential equations. The role played by the z-transform in the solution of difference equations corresponds to that represented by the Laplace transforms in the solution of differential equations. In this chapter the z-transform representation will present ,also the Region of convergence (ROC) ,Properties of the z-Transform, and the Inverse z-Transform.
